Sustainable Energy
2nd Edition
ISBN: 9781337551663
Author: DUNLAP, Richard A.
Publisher: Cengage,
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Question 4:
The three gorges dam is rated at maximum output. If its generating efficiency is 90 % and
its head is 81 m what is the rate of flow in (kg/s) of water through its turbines at
maximum output.
The flow of a river is 150 cubic feet per second at a site where a 75 feet hydrostatic head canbe created by the erection of a dam. What is the potential capacity (in kW) of a hydroelectricpower plant if installed at this site? Consider that hydraulic efficiency of energy conversioncan be 80%, and that the electric efficiency can be 90%.
8-147 In a hydroelectric power plant, water at 20°C is
supplied to the turbine at a rate of 0.55 m³/s through a
200-m-long, 0.35-m-diameter cast iron pipe. The elevation
difference between the free surface of the reservoir and the tur-
bine discharge is 140 m, and the combined turbine-generator
efficiency is 85 percent. Disregarding the minor losses
because of the large length-to-diameter ratio, determine the
electric power output of this plant.
Chapter 18 Solutions
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- At a proposed hydroelectric power plant site, the average elevation of headwater is 600m and the tailwater elevation is 480m. The average annual water flow is determined to be equal to that volume flowing through a rectangular channel 4m wide and 0.5m deep and average velocity of 5.5m/s. Assuming the plant will operate 350 days/year, find the energy kwh that the plant site can developed if the hydraulic turbine that will be used has an efficiency of 78% and generator efficiency of 90%. Consider a headwork loss of 4% of the available head.arrow_forwardWater from a reservoir is being supplied to a powerhouse that is located at an elevation 325 m below that of a reservoir surface. Discharging through a nozzle, the water has a jet velocity of 75 m/s and a jet diameter of 250 mm. a) Find the head lost between the reservoir and the jet in meters. b) Use the power formula to determine the power in the jet in kilowatts.arrow_forwardThe water behind a Dam is 206 m higher than the River below it. The water inthe dam is allowed to flow into the river to generate power.(i) Describe the energy conversions that take place at the hydro powergeneration plant.(ii) Apply the steady flow energy equation to determine the rate the water mustpass through the hydraulic turbines of this dam to produce 50 MW of power if theturbines are 100 percent efficient?arrow_forward
- In a hydroelectric power plant, water at 4°C is supplied to the turbine at a rate of 0.58 m³/s through a 195 m-long and 0.34 m-diameter cast iron pipe, as shown in the following figure.. The elevation difference between the free surface of the reservoir and the turbine discharge is 135 m, and the combined turbine-generator efficiency is 85 percent. Disregarding the minor losses due to the large length-to-diameter ratio of the pipe, determine the electric power output of this plant. The density and dynamic viscosity of water at 4°C are p = 1,000 kg/m³ and μ = 1.6×10-³ kg/m-s, and the roughness of the cast iron pipe is & 0.00026 m. = Water 135 m 195 m 0.34 m Turbinearrow_forwardIn the mountains, hydroelectric facilities transport water from a reservoir through enclosed tubes to a turbine. In these plants, the intake tube of 100 cm (Point 2), 50 meters in diameter, is under the water surface of the reservoir (Point 1). Before the turbine falls into a 50-cm diameter bucket 200 meters through the tube (Point 3). (a) What is the speed of the water in the image when the turbine approaches Point 3?(b) Calculate the flow rate of the water at Point 3(c) Calculate the pressure P at point 1 (water surface), point 2 (intake) and Point 3 (nozzle), respectivelyarrow_forwardA turbine is developing 500 kW power under the head of 100 m at a speed of 200 r.p.m. Determine the normal speed and output of the turbine under the head of 81 m.arrow_forward
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- In a hydroelectric project, a discharge of 400 m/s is available with net head of 32 m. If two turbines of same size having specific speed Ns are required to give an efficiency of 90 % then Ng (in Sl unit) of each turbine is_ (Assume speed of each turbine to be 152 r.p.m.).arrow_forwardA turbine is installed with a total energy head of 14.97 m. if the rate of flow is 0.48 m3/s,determine the following:a. The input horsepower of the turbine.b. If the efficiency of the turbine is 82 %, compute its output hp.arrow_forwardQ1. A hydroelectric station has a cubic tank of height 50m above the earth. This cubic tank has an equal part of 35m. The maximum height of water in the tank is 25m for one day and the minimum height of water in the tank is 5m for one day also. The efficiency of the station is 0.9, Find 1. The power that developed by the station. 2. The maximum power that developed by the station. 3. The maximum power that could be developed by the s 35m 25m 5m 50m eartharrow_forward
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